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14122321440 = 253543684221
BaseRepresentation
bin11010010011100000…
…11000011000100000
31100110012122021001020
431021300120120200
5212410303241230
610253202205440
71006651515543
oct151160303040
940405567036
1014122321440
115a97756137
1228a1653880
131440a69626
1497d83885a
15579c46810
hex349c18620

14122321440 has 96 divisors (see below), whose sum is σ = 45519921216. Its totient is φ = 3678366720.

The previous prime is 14122321403. The next prime is 14122321489. The reversal of 14122321440 is 4412322141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14122321440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321471 + ... + 362750.

It is an arithmetic number, because the mean of its divisors is an integer number (474165846).

Almost surely, 214122321440 is an apocalyptic number.

14122321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122321440 is an abundant number, since it is smaller than the sum of its proper divisors (31397599776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14122321440 is a wasteful number, since it uses less digits than its factorization.

14122321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684282 (or 684274 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14122321440 its reverse (4412322141), we get a palindrome (18534643581).

The spelling of 14122321440 in words is "fourteen billion, one hundred twenty-two million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 684221 1368442 2052663 2736884 3421105 4105326 5473768 6842210 8210652 10263315 10947536 13684420 16421304 20526630 21895072 27368840 29421503 32842608 41053260 54737680 58843006 65685216 82106520 88264509 109475360 117686012 147107515 164213040 176529018 235372024 294215030 328426080 353058036 441322545 470744048 588430060 706116072 882645090 941488096 1176860120 1412232144 1765290180 2353720240 2824464288 3530580360 4707440480 7061160720 14122321440